. Acta Academiae scientiarum imperialis petropolitanae. Science. III. Area hedrae r= irr. — 1,333333. rr IV. SiipeTficies ^iSrrzz 8, rr V. Soliditas —777 — i,539^oor^ Cafas Sextus. Pro hedris pentagonis, quariim ternae in angulis folidis concurrunt. .. §. 21. Hic igitur eft « = 5, et finguli anguli he- drae fphaericae pentagonae iterura erunt 120 gr. — 2?, et talium quinque angulorum fumma erit —^^, vnde, ablatis 3 TT, remanet -J. Hinc area erit —^^ quae ia tota fuperfi- cie fpaerae duodccies continctur, ficque hoc corpus for- mabitur cx duodecim hedris pentagonis, vnde etiam Do- decae
. Acta Academiae scientiarum imperialis petropolitanae. Science. III. Area hedrae r= irr. — 1,333333. rr IV. SiipeTficies ^iSrrzz 8, rr V. Soliditas —777 — i,539^oor^ Cafas Sextus. Pro hedris pentagonis, quariim ternae in angulis folidis concurrunt. .. §. 21. Hic igitur eft « = 5, et finguli anguli he- drae fphaericae pentagonae iterura erunt 120 gr. — 2?, et talium quinque angulorum fumma erit —^^, vnde, ablatis 3 TT, remanet -J. Hinc area erit —^^ quae ia tota fuperfi- cie fpaerae duodccies continctur, ficque hoc corpus for- mabitur cx duodecim hedris pentagonis, vnde etiam Do- decaedron appellari folet, et quia omnino dantur 5. 12= (Jo anguli plani, eorumque terni in angulis folidis coeunt, nu- merus angulorum fohdorum erit zr: 20. .^ §. 22. Si hic vt hadenus confiitiiatur triangulum fphaericum redangulum O A P, erit angulus a — 60 gr. et 6 — 36 gr. vnde habctur f. V s hincque colligimus cof. A P — i^ — Jtn. X cof. O A — t±±^±t, y li ' fnde fit B 3 Please note that these images are extracted from scanned page images that may have been digitally enhanced for readability - coloration and appearance of these illustrations may not perfectly resemble the original Imperatorskaia akademia nauk (Russia). Petropoli, Typis Academiae scientiarum
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